Daisy is remodeling her home. The rectangular floor in the living room is 18 feet long and 9
feet wide. The rectangular floor in the dining is 13 feet long by 8 feet wide. How much will it
cost to tile the floor of both rooms if the tile costs $2.00 per square foot?

$532 for both rooms.

208 for dining room. 324 for living room.

Step-by-step explanation:

Find out how much square foot is in both rooms by multiplying length and width. then multiply each rooms square foot .by 2. then add up the two.

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12